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Finding the Fourth Proportional to 65,346.93, 98,033.16 and 20,970.27

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Solution

The fourth proportional to 65,346.93, 98,033.16 and 20,970.27 is: 31,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,346.93 : 98,033.16 = 20,970.27 : x
  2. Step 2: Convert to fraction form
    65,346.93/98,033.16 = 20,970.27/x
  3. Step 3: Cross multiply
    65,346.93x = 98,033.16 × 20,970.27
  4. Step 4: Simplify right side
    65,346.93x = 2,055,782,131.66
  5. Step 5: Solve for x
    x = 2,055,782,131.66/65,346.93
  6. Step 6: Final answer
    x = 31,459.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.